GROUPS THAT INVOLVE FINITELY MANY PRIMES AND HAVE ALL SUBGROUPS SUBNORMAL II

It is shown that if G is a hypercentral group with all subgroups subnormal, and if the torsion subgroup of G is a pi-group for some finite set pi of primes, then G is nilpotent. In the case where G is not hypercentral there is a section of G that is much like one of the well-known Heineken-Mohamed groups. It is also shown that if G is a residually nilpotent group with all subgroups subnormal whose torsion subgroup satisfies the above condition then G is nilpotent.

A summary of the 2004 Ohio Music Education Association research forum presented by Dr. Patricia J. Flowers.

Each year, the Research Committee of the Ohio Music Education Association sponsors a half-day Research Forum prior to the beginning of the state music education association conference. In 2004, Dr. Patricia J. Flowers, Professor of Music at the Ohio State University was the guest speaker. This article summarizes her talk on the process of becoming a music education researcher